Waring’s problem for $F_q\left[x\right]$

R. M. Kubota. Waring’s problem for $F_q[x]$. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1974. <http://eudml.org/doc/268391>.

@book{R1974,
abstract = {CONTENTSIntroduction ................................................................................................................... 51. Preliminaries............................................................................................................. 92. Tie Farey arcs............................................................................................................ 123. The contribution of the major and minor arcs..................................................... 134. Weyl’s Lemma.......................................................................................................... 165. The singular integral................................................................................................ 236. The singular series.................................................................................................. 287. The asymptotic formula ......................................................................................... 378. Estimates for $\tilde\{g\}(k)$..................................................................................... 40Bibliography................................................................................................................... 55},
author = {R. M. Kubota},
keywords = {finite field; Waring problem; polynomial ring; adaptation of Hardy-Littlewood circle method; asymptotic number of representations; sums of powers},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Waring’s problem for $F_q[x]$},
url = {http://eudml.org/doc/268391},
year = {1974},
}

TY - BOOK
AU - R. M. Kubota
TI - Waring’s problem for $F_q[x]$
PY - 1974
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSIntroduction ................................................................................................................... 51. Preliminaries............................................................................................................. 92. Tie Farey arcs............................................................................................................ 123. The contribution of the major and minor arcs..................................................... 134. Weyl’s Lemma.......................................................................................................... 165. The singular integral................................................................................................ 236. The singular series.................................................................................................. 287. The asymptotic formula ......................................................................................... 378. Estimates for $\tilde{g}(k)$..................................................................................... 40Bibliography................................................................................................................... 55
LA - eng
KW - finite field; Waring problem; polynomial ring; adaptation of Hardy-Littlewood circle method; asymptotic number of representations; sums of powers
UR - http://eudml.org/doc/268391
ER -